wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

A particle is projected vertically upwards from the surface of the earth (radius R) with a speed equal to one-fourth of escape velocity. The maximum height attained by it from the surface of the earth is

A
R5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
R10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
R15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
R20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C R15
Escape velocity, ve=2gR
v=2gR4=gR22
From conservation of energy
12mv2GMmR=0GMmR+h

Using g=GMR2
12mgR8 mg R=gR2mR+h
116=1RR+h
116=hR+h
R+h=16h
R=15h
h=R15

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Escape Velocity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon